Access the full text.
Sign up today, get DeepDyve free for 14 days.
A. Stunault, K. Andersen, Y. Blanc, B. Fåk, H. Godfrin, K. Guckelsberger, R. Scherm (1992)
Time-of-flight spectroscopy: energy calibration and consistensy checkPhysica B-condensed Matter, 180
D. Greywall, M. Paalanen (1981)
Measurements of second sound in partially spin-polarized /sup 3/He-/sup 4/He solutionsPhysical Review Letters, 46
M. Lücke, A. Szprynger (1982)
Density-fluctuation spectra of dilute mixtures of 3 He in superfluid 4 HePhysical Review B, 26
De Waele, Jgm Kuerten (1992)
Thermodynamics and hydrodynamics of ³He-⁴He mixturesProgress in low temperature physics, 13
Hsu, Pines, Aldrich (1985)
Elementary excitations in dilute mixtures of 3He in superfluid 4He.Physical review. B, Condensed matter, 32 11
J. Rowe, D. Price, G. Ostrowski (1973)
Inelastic Neutron Scattering from a LiquidHe3-He4MixturePhysical Review Letters, 31
R. Scherm, K. Guckelsberger, A. Stunault, B. Fåk (1991)
Elementary Excitations in Fermi Liquids: Neutron Scattering by 3He and 3He-4He Mixtures, 257
(1982)
Density-fluctuation spectra of dilute mixtures of /sup 3/He in superfluid /sup 4/He
D. Greywall (1978)
Specific Heat of Dilute Solutions of 3 He in 4 He and the 3 He-Quasiparticle Excitation SpectrumPhysical Review Letters, 41
N. Brubaker, D. Edwards, R. Sarwinski, P. Seligmann, R. Sherlock (1970)
INVESTIGATION BY SECOND SOUND OF THE INERTIAL MASS OF $sup 3$He IN SUPERFLUID $sup 4$He AT LOW TEMPERATURES.Physical Review Letters, 25
D. Brewer, C. Gorter, W. Halperin, 坪田 誠 (1964)
Progress in low temperature physics
V. Pandharipande, N. Itoh (1973)
Effective Mass of 3 He in Liquid 4 HePhysical Review A, 8
Fåk, Guckelsberger, Körfer, Scherm, Dianoux (1990)
Elementary excitations in superfluid 3He-4He mixtures: Pressure and temperature dependence.Physical review. B, Condensed matter, 41 13
A. Ghozlan, E. Varoquaux (1979)
Propriétés osmotiques et magnétiques des solutions d’hélium-3 dans l’hélium-4 superfluideAnnales De Physique, 4
D. Greywall (1980)
Erratum: Specific heat and phonon dispersion of liquid 4 HePhysical Review B, 21
C. Ebner, D. Edwards (1971)
The low temperature thermodynamic properties of superfluid solutions of 3He in 4HePhysics Reports, 2
G. Brown, C. Pethick, A. Zaringhalam (1982)
Energy dependence of the effective mass in liquid3HeJournal of Low Temperature Physics, 48
Manousakis, Pandharipande (1986)
Theoretical studies of the dynamic structure function of liquid 4He.Physical review. B, Condensed matter, 33 1
R. Sherlock, D. Edwards (1973)
Values of the Normal-Fluid Density andHe3Inertial Mass in Dilute Solutions ofHe3in SuperfluidHe4Physical Review A, 8
(1970)
thermodynamical properties of dilute solutions of 3He in 4He are usually interpreted in terms of a non-interacting Fermi gas of quasiparticles (qp)
P. Hilton, R. Scherm, W. Stirling (1977)
Experimental studies of the excitation spectrum of3He-4He mixtures using neutron inelastic scatteringJournal of Low Temperature Physics, 27
J. Ketterson, K. Bennemann (1976)
The Physics of Liquid and Solid Helium
R. Bowley (1988)
The velocity of second sound in 3He-4He mixtures: A revisionJournal of Low Temperature Physics, 71
K. Pedersen, R. Cowley (1983)
Neutron scattering from liquid mixtures of 3He and 4HeJournal of Physics C: Solid State Physics, 16
In an inelastic neutron scattering (INS) experiment on3He-4He mixtures one observes, besides the photon-roton mode which is barely modified by the admixture of3He, an additional excitation at lower energies which is interpreted as quasi-particle-hole excitations of a nearly free Fermi gas. We reanalyse INS data ofx 3=1% and 4.5% mixtures at various pressures to extract the mean energy $$\hat \omega _q $$ of the fermions. In the momentum range 9<q<17 nm−1 (above 2k F ) $$\hat \omega _q $$ follows very closely the relation $$\hat \omega _q $$ =A 2 q 2+A 4 q 4 at all concentrations, pressures and temperatures observed. In a 4.5% mixture (T F ≈0.3 K), measurements were performed for temperatures in the range 0.07<T<0.9 K. We find bothA 2 andA 4 to be strongly temperature dependent. For the interpretation of thermodynamical properties, the single particle energy ε k is parametrized as ε k =εo+1/(2ms*) ·k 2 · (1+γk 2). Neglecting interactions between fermions, we calculate from the free-particle ε k the scattering functionS(q, ω) and the mean value of the fermion peak energy ω q =∫ ωS 3(q, ω)dω/∫S 3(q, ω)dω. We find that $$\hat \omega _q $$ follows closely ε q , deviating at most by 10%. A comparison to the measuredA 2 andA 4 directly yieldsms* (x 3,p, T) and γ(x 3,p, T). In the limitx 3=0,p=0 andT=0, the density and concentration dependence of the inertial mass is in excellent agreement with values found by Sherlock and Edwards. The temperature dependence of the specific heat data from Greywall and Owers-Bradleyet al. are well represented by our model atT<0,5 K.
Journal of Low Temperature Physics – Springer Journals
Published: Nov 6, 2004
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.